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Finding the Third Proportional to 175,328 and 255,884

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Solution

The third proportional to 175,328 and 255,884 is: 373,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,328 : 255,884 = 255,884 : x
  2. Step 2: Convert to fraction form
    175,328/255,884 = 255,884/x
  3. Step 3: Cross multiply
    175,328x = 255,884 × 255,884
  4. Step 4: Simplify right side
    175,328x = 65,476,621,456
  5. Step 5: Solve for x
    x = 65,476,621,456/175,328
  6. Step 6: Final answer
    x = 373,452.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.